Search a number
-
+
14342033532 = 223101103131877
BaseRepresentation
bin11010101101101101…
…00001000001111100
31101000112001210101010
431112312201001330
5213333030033112
610331051315220
71015260162561
oct152666410174
941015053333
1014342033532
11609a782082
12294314bb10
131477435c98
149a0aac868
1558e19663c
hex356da107c

14342033532 has 96 divisors (see below), whose sum is σ = 34423893504. Its totient is φ = 4646304000.

The previous prime is 14342033521. The next prime is 14342033551. The reversal of 14342033532 is 23533024341.

14342033532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14342033532.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16353078 + ... + 16353954.

It is an arithmetic number, because the mean of its divisors is an integer number (358582224).

Almost surely, 214342033532 is an apocalyptic number.

14342033532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14342033532 is an abundant number, since it is smaller than the sum of its proper divisors (20081859972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14342033532 is a wasteful number, since it uses less digits than its factorization.

14342033532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 14342033532 its reverse (23533024341), we get a palindrome (37875057873).

The spelling of 14342033532 in words is "fourteen billion, three hundred forty-two million, thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 101 103 131 202 206 262 303 309 393 404 412 524 606 618 786 877 1212 1236 1572 1754 2631 3508 5262 10403 10524 13231 13493 20806 26462 26986 31209 39693 40479 41612 52924 53972 62418 79386 80958 88577 90331 114887 124836 158772 161916 177154 180662 229774 265731 270993 344661 354308 361324 459548 531462 541986 689322 1062924 1083972 1362793 1378644 2725586 4088379 5451172 8176758 9123431 11603587 11833361 16353516 18246862 23207174 23666722 27370293 34810761 35500083 36493724 46414348 47333444 54740586 69621522 71000166 109481172 139243044 142000332 1195169461 2390338922 3585508383 4780677844 7171016766 14342033532